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Finding the Fourth Proportional to 394.50, 586.75 and 386.30

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Solution

The fourth proportional to 394.50, 586.75 and 386.30 is: 574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 586.75 = 386.30 : x
  2. Step 2: Convert to fraction form
    394.50/586.75 = 386.30/x
  3. Step 3: Cross multiply
    394.50x = 586.75 × 386.30
  4. Step 4: Simplify right side
    394.50x = 226,663.47
  5. Step 5: Solve for x
    x = 226,663.47/394.50
  6. Step 6: Final answer
    x = 574.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.